Tsiolkovsky rocket equation

E304394

The Tsiolkovsky rocket equation is a fundamental formula in astronautics that relates a rocket’s change in velocity to its exhaust velocity and the ratio of initial to final mass, forming the basis for modern rocket design and spaceflight calculations.

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Tsiolkovsky rocket equation canonical 2

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Predicate Object
instanceOf equation in astronautics
physical law
rocket equation
appliesTo chemical rockets
electric propulsion systems (approximately)
ideal rockets
assumes constant exhaust velocity
instantaneous mixing and ejection of propellant mass
no external forces except thrust
component delta-v (Δv)
effective exhaust velocity (ve)
final mass (mf)
initial mass (m0)
mass ratio (m0 / mf)
describes ideal rocket motion with constant exhaust velocity
relationship between delta-v and mass ratio of a rocket
field astronautics
rocket science
spaceflight dynamics
hasAlternativeForm Δv = Isp * g0 * ln(m0 / mf)
hasFormula Δv = ve * ln(m0 / mf)
hasUnitContext SI units for velocity and mass
implies diminishing returns from adding more propellant
exponential dependence of delta-v on mass ratio
influences choice of propulsion technology
launch vehicle architecture
introducedBy Konstantin Tsiolkovsky
involvesConstant standard gravity g0
isBasisFor payload fraction optimization
propellant mass fraction estimation
rocket design calculations
space mission delta-v budgeting
staging analysis in launch vehicles
trade studies between specific impulse and mass ratio
namedAfter Konstantin Tsiolkovsky
publicationYear 1903
publishedIn The Exploration of Cosmic Space by Means of Reaction Devices
relatedTo Oberth effect
conservation of momentum
rocket thrust equation
specific impulse
relates change in velocity of a rocket
effective exhaust velocity of propellant
final mass of rocket
initial mass of rocket
usedFor designing multi-stage rockets
estimating required propellant mass for a mission
evaluating propulsion system performance
trajectory planning in space missions
usesFunction natural logarithm

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Referenced by (2)

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Konstantin Tsiolkovsky knownFor Tsiolkovsky rocket equation
Konstantin Tsiolkovsky developed Tsiolkovsky rocket equation